DE602004006126D1 - IMPROVED INVESTMENT CALCULATIONS - Google Patents

IMPROVED INVESTMENT CALCULATIONS

Info

Publication number
DE602004006126D1
DE602004006126D1 DE602004006126T DE602004006126T DE602004006126D1 DE 602004006126 D1 DE602004006126 D1 DE 602004006126D1 DE 602004006126 T DE602004006126 T DE 602004006126T DE 602004006126 T DE602004006126 T DE 602004006126T DE 602004006126 D1 DE602004006126 D1 DE 602004006126D1
Authority
DE
Germany
Prior art keywords
improved investment
investment calculations
calculations
improved
invariences
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
Application number
DE602004006126T
Other languages
German (de)
Other versions
DE602004006126T2 (en
Inventor
Gerardus T M Hubert
Rijnswou Sander M Van
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
NXP BV
Original Assignee
Koninklijke Philips Electronics NV
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Koninklijke Philips Electronics NV filed Critical Koninklijke Philips Electronics NV
Publication of DE602004006126D1 publication Critical patent/DE602004006126D1/en
Application granted granted Critical
Publication of DE602004006126T2 publication Critical patent/DE602004006126T2/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/721—Modular inversion, reciprocal or quotient calculation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724—Finite field arithmetic
    • G06F7/726—Inversion; Reciprocal calculation; Division of elements of a finite field

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Complex Calculations (AREA)
  • Synchronisation In Digital Transmission Systems (AREA)
  • Lock And Its Accessories (AREA)
  • Organic Low-Molecular-Weight Compounds And Preparation Thereof (AREA)
  • Mold Materials And Core Materials (AREA)
  • Stored Programmes (AREA)

Abstract

An Elliptic Curve Cryptography inversion technique utilises operating on the MSW of four auxiliary variables U, V, R and S with specified invariences.
DE602004006126T 2003-06-21 2004-06-10 IMPROVED INVESTMENT CALCULATIONS Expired - Lifetime DE602004006126T2 (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
GB0314562 2003-06-21
GBGB0314562.0A GB0314562D0 (en) 2003-06-21 2003-06-21 Improved inversion calculations
PCT/IB2004/001981 WO2004114123A2 (en) 2003-06-21 2004-06-10 Improved inversion calculations

Publications (2)

Publication Number Publication Date
DE602004006126D1 true DE602004006126D1 (en) 2007-06-06
DE602004006126T2 DE602004006126T2 (en) 2007-12-27

Family

ID=27637130

Family Applications (1)

Application Number Title Priority Date Filing Date
DE602004006126T Expired - Lifetime DE602004006126T2 (en) 2003-06-21 2004-06-10 IMPROVED INVESTMENT CALCULATIONS

Country Status (8)

Country Link
US (1) US20070016635A1 (en)
EP (1) EP1639448B1 (en)
JP (1) JP2007520728A (en)
CN (1) CN1809807B (en)
AT (1) ATE360853T1 (en)
DE (1) DE602004006126T2 (en)
GB (1) GB0314562D0 (en)
WO (1) WO2004114123A2 (en)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8020142B2 (en) * 2006-12-14 2011-09-13 Intel Corporation Hardware accelerator
CN103389965B (en) * 2013-07-05 2016-04-20 福建升腾资讯有限公司 A kind of big integer of the SM2 of realization cipher system is asked and is taken advantage of inverse approach
JP7414675B2 (en) 2020-09-11 2024-01-16 キオクシア株式会社 Inverse element calculation device and memory system

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
IL121297A0 (en) * 1997-07-14 1998-02-22 L P K Information Integrity Lt A method and apparatus for the efficient execution of elliptic curve cryptographic operations
IL135247A0 (en) * 2000-03-23 2003-06-24 Cipherit Ltd Method and apparatus for the calculation of modular multiplicative inverses

Also Published As

Publication number Publication date
GB0314562D0 (en) 2003-07-30
WO2004114123A2 (en) 2004-12-29
US20070016635A1 (en) 2007-01-18
EP1639448A2 (en) 2006-03-29
WO2004114123A3 (en) 2005-03-24
DE602004006126T2 (en) 2007-12-27
CN1809807A (en) 2006-07-26
ATE360853T1 (en) 2007-05-15
CN1809807B (en) 2012-05-09
EP1639448B1 (en) 2007-04-25
JP2007520728A (en) 2007-07-26

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Legal Events

Date Code Title Description
8364 No opposition during term of opposition
8327 Change in the person/name/address of the patent owner

Owner name: NXP B.V., EINDHOVEN, NL

8328 Change in the person/name/address of the agent

Representative=s name: EISENFUEHR, SPEISER & PARTNER, 10178 BERLIN